TY  - BOOK
AU  - Ambrosio,Luigi
AU  - Colli,P.
AU  - Rodrigues,José-Francisco
ED  - Euro-Summer School on Mathematical Aspects of Evolving Interfaces
TI  - Mathematical aspects of evolving interfaces: lectures given at the C.I.M.-C.I.M.E. joint Euro-summer school held in Madeira, Funchal, Portugal, July 3-9, 2000 
T2  - Lecture notes in mathematics,
SN  - 3540140336
AV  - QA3QC20.7.B6 .L28 no. 1812
U1  - 510 s515/.35 21
PY  - 2003///
CY  - Berlin, New York
PB  - Springer
KW  - Boundary value problems
KW  - Congresses
KW  - Reaction-diffusion equations
KW  - Interfaces (Physical sciences)
KW  - Mathematics
KW  - Mathematical physics
KW  - Problèmes aux limites
KW  - Congrès
KW  - Équations de réaction-diffusion
KW  - Interfaces (Sciences physiques)
KW  - Mathématiques
KW  - Physique mathématique
KW  - Física matemática
KW  - Congresos
KW  - embne
KW  - Ecuaciones de reacción-difusión
KW  - embucm
KW  - fast
KW  - Randwaardeproblemen
KW  - gtt
KW  - Partiële differentiaalvergelijkingen
KW  - Grensvlakken
KW  - proceedings (reports)
KW  - aat
KW  - Conference papers and proceedings
KW  - lcgft
KW  - Actes de congrès
KW  - rvmgf
N1  - Includes bibliographical references; Preface -- 1. L. Ambrosio: Lecture Notes on Optimal Transport Problems -- 2. K. Deckelnick and G. Gziuk: Numerical Approximation of Mean Curvature Flow of Graphs and Level Sets -- 3. M. Mimura: Reaction-Diffusion Systems Arising in Biological and Chemical Systems: Application of Singular Limit Procedures -- 4. V.A. Solonnikov: Lectures on Evolution Free Boundary Problems: Classical Solutions -- 5. H.M. Soner: Variational and Dynamic Problems for the Ginzburg-Landau Functional
N2  - Interfaces are geometrical objects modelling free or moving boundaries and arise in a wide range of phase change problems in physical and biological sciences, particularly in material technology and in dynamics of patterns. Especially in the end of last century, the study of evolving interfaces in a number of applied fields becomes increasingly important, so that the possibility of describing their dynamics through suitable mathematical models became one of the most challenging and interdisciplinary problems in applied mathematics. The 2000 Madeira school reported on mathematical advances in some theoretical, modelling and numerical issues concerned with dynamics of interfaces and free boundaries. Specifically, the five courses dealt with an assessment of recent results on the optimal transportation problem, the numerical approximation of moving fronts evolving by mean curvature, the dynamics of patterns and interfaces in some reaction-diffusion systems with chemical-biological applications, evolutionary free boundary problems of parabolic type or for Navier-Stokes equations, and a variational approach to evolution problems for the Ginzburg-Landau functional
UR  - https://link-springer-com.libraryproxy.ist.ac.at/10.1007/b11357
ER  -